| Great Britain. Education Department. Department of Science and Art - 1908 - 328 pages
...angles ABC, DEF are equal, and the angles ACB, DFE are supplementary ; show that AB : DE = AC: DF. **If two triangles have one angle of the one equal to one angle of the other, and the sides about** one other angle in each proportional, so that the sides opposite equal angles correspond, show that... | |
| Walter Percy Workman - Geometry - 1908 - 228 pages
...thenproveT.il andT.llcby means of Ar.6. 309. THEOREM [Ar.7.]. — It two triangles (or two parallelograms) **have one angle of the one equal to one angle of the other,** their areas are in the ratio of the products of tbe •ides containing the equal angles. (i) In Fig.... | |
| Mathematics - 1909 - 605 pages
...converse. If two triangles are equiangular their corresponding sides are proportional; and the converse. **If two triangles have one angle of the one equal to one angle of the other and the sides about** these equal angles proportional, the triangles are similar. The internal bisector of an angle of a... | |
| University of Allahabad - 1909 - 638 pages
...converse. If two triangles are equiangular, their corresponding sides are proportional ; and the converse. **If two triangles have one angle of the one equal to one angle of the other, and the** s'des about these equal angles proportional, the triangles are similar. The internal bisector of an... | |
| Civil Service Commission of Canada - Civil service - 1910 - 238 pages
...to CA to meet BA at E ; show that the triangles BDE, ADC are equal in area. 9. Equal triangles which **have one angle of the one equal to one angle of the other** have their sides about the equal angles reciprocally proportional. Describe an isosceles triangle equal... | |
| Alexander H. McDougall - Geometry - 1910 - 316 pages
...and meets DF at H. Prove that A EKH : A FKH = ED : DF. THEOREM 10 If two triangles have one angle of **one equal to one angle of the other and the sides about** these angles proportional, the triangles are similar, the equal angles being opposite corresponding... | |
| University of Allahabad - 1910 - 682 pages
...converse. If two triangles are equiangular, their corresponding sides are proportional ; and the converse. **If two triangles have one angle of the one equal to one** an^'le of the other and the sides about these equal angles proportional, the triangles are similar.... | |
| University of Allahabad - 1911 - 726 pages
...two triangles are equiangular, their corresponding sides are proportional ; and the converse. If wo **triangles have one angle of the one equal to one angle of the other and the sides about** these equal angles proportional, the triangles are similar. The internal bisector of an angle of a... | |
| Trinity College (Dublin, Ireland) - 1911 - 616 pages
...equal angles proportionals, the triangles are equiangular. 10. Prove that equal parallelograms which **have one angle of the one equal to one angle of the other** have their sides about the equal angles reciprocally proportional. ALGEBRA AMD ARITHMETIC. MR. WEBB.... | |
| Great Britain. Board of Education - Mathematics - 1912 - 632 pages
...internally, the straight line through their centres passes through the point of contaot. 10. Prove that **if two triangles have one angle of the one equal to one angle of the other, and the** aides about these angles proportional, the triangles are similar. Prove that if the two triangles ABC,... | |
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